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1 2011

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Thermal instability of Walters' (model B') elastico-viscous compressible fluid in the presence of Hall current

Kumar S., Gupta D., Jaswal R., Rana G. C.

Studia Geotechnica et Mechanica

2011

Vol. 33, nr 3

61-72

The thermal instability of a compressible elastico-viscous fluid is examined for viscoelastic polymeric solutions in the presence of uniform vertical magnetic field to include the Hall-current. These solutions are known as Walters' (model B') fluids and their rheology is approximated by the Walters' (model B') constitutive relations, proposed by WALTERS [12]. It is found that the stability criterion is independent of the effects of viscosity and viscoelasticity and is dependent on the magnitude of the magnetic field and Hall current. The magnetic field is found to stabilize a certain wave number range of the unstable configuration. The Hall current has destabilizing and stabilizing effects on the system.